Use the formula for the volume of a spear sphere to find the volume of a basketball that has a diameter of 9.2 in use 3.14 as an approximation for pi round your answer to the nearest hundredth if necessary
The formula for the volume of a sphere is:
V = (4/3)πr³
Since we are given the diameter of the basketball, we can divide it by 2 to find the radius:
r = d/2 = 9.2 in / 2 = 4.6 in
Substituting the value of the radius into the formula:
V = (4/3)π(4.6 in)³
V ≈ (4/3)(3.14)(4.6 in)³
Evaluating the expression:
V ≈ (4/3)(3.14)(97.336 in³)
V ≈ 407.94 in³
Rounding the volume to the nearest hundredth:
V ≈ 407.94 in³
Therefore, the volume of the basketball is approximately 407.94 cubic inches.